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Finding the Third Proportional to 260,698,262 and 365,367,946

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Solution

The third proportional to 260,698,262 and 365,367,946 is: 512,062,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,698,262 : 365,367,946 = 365,367,946 : x
  2. Step 2: Convert to fraction form
    260,698,262/365,367,946 = 365,367,946/x
  3. Step 3: Cross multiply
    260,698,262x = 365,367,946 × 365,367,946
  4. Step 4: Simplify right side
    260,698,262x = 133,493,735,964,258,912
  5. Step 5: Solve for x
    x = 133,493,735,964,258,912/260,698,262
  6. Step 6: Final answer
    x = 512,062,239.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.